Papers › On kissing numbers and spherical codes in high dimensions
On kissing numbers and spherical codes in high dimensions
Matthew Jenssen, Felix Joos, Will Perkins
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We prove a lower bound of Ω(d^(3/2) ·(2/√(3))ᵈ) on the kissing number in dimension d. This improves the classical lower bound of Chabauty, Shannon, and Wyner by a linear factor in the dimension. We obtain a similar linear factor improvement to the best known lower bound on the maximal size of a spherical code of acute angle θ in high dimensions.
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